Global solutions for small nonlinear long range perturbations of two dimensional Schrödinger equations

DOI10.24033/msmf.404zbMath1008.35072OpenAlexW286380530MaRDI QIDQ3146220

Jean-Marc Delort

Publication date: 11 September 2002

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_2002_2_91__1_0/

zbMATH Keywords

nonlinear Schrödinger equationglobal existence

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Euler-Poisson-Darboux equations (35Q05) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

Related Items (9)

Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations ⋮ Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations ⋮ Global solutions for 2D quadratic Schrödinger equations ⋮ Asymptotic behavior of incompressible Schrödinger flow for small data in three dimensions ⋮ Remark on the global existence and large time asymptotics of solutions for the quadratic NLS ⋮ Global solutions of quasilinear systems of Klein-Gordon equations in 3D ⋮ Null structure in a system of quadratic derivative nonlinear Schrödinger equations ⋮ Quadratic derivative nonlinear Schrödinger equations in two space dimensions ⋮ Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions

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